Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
| # | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 1992 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_1M_5$ + $ M_6\phi_1q_2^2$ | 0.6674 | 0.8457 | 0.7891 | [X:[], M:[1.18, 0.7534, 0.82, 0.82, 0.82, 0.7201], q:[0.8033, 0.4433], qb:[0.3767, 0.8033], phi:[0.3933]] | [X:[], M:[[-6], [-14], [6], [6], [6], [-24]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_2$, $ \phi_1^2$, $ M_3$, $ M_4$, $ M_5$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ q_1q_2$, $ M_6^2$, $ M_2M_6$, $ M_2^2$, $ M_6\phi_1^2$, $ M_3M_6$, $ M_4M_6$, $ M_5M_6$, $ M_2\phi_1^2$, $ M_2M_3$, $ M_2M_4$, $ M_2M_5$, $ \phi_1^4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ q_1\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_3M_5$, $ M_4M_5$, $ M_5^2$, $ \phi_1q_2\tilde{q}_2$, $ M_6\phi_1\tilde{q}_1^2$, $ M_2\phi_1\tilde{q}_1^2$, $ M_6\phi_1q_2\tilde{q}_1$, $ \phi_1^3\tilde{q}_1^2$, $ M_6q_1q_2$, $ M_3\phi_1\tilde{q}_1^2$, $ M_4\phi_1\tilde{q}_1^2$, $ M_5\phi_1\tilde{q}_1^2$ | $\phi_1^3q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$ | -1 | t^2.16 + t^2.26 + t^2.36 + 3*t^2.46 + t^3.44 + t^3.64 + t^3.74 + t^4.32 + t^4.42 + 2*t^4.52 + 4*t^4.62 + 4*t^4.72 + 4*t^4.82 + 6*t^4.92 + t^5.6 + t^5.7 + t^5.8 + 3*t^5.9 - t^6. + 2*t^6.1 + 2*t^6.2 + t^6.48 + t^6.58 + 2*t^6.68 + 5*t^6.78 + 6*t^6.88 + 7*t^6.98 + 9*t^7.08 + 7*t^7.18 + 5*t^7.28 + 8*t^7.38 + t^7.76 + t^7.86 + 2*t^7.96 + 3*t^8.06 + t^8.16 - t^8.26 + t^8.36 - 6*t^8.46 + t^8.56 + t^8.64 + 2*t^8.66 + t^8.74 + 2*t^8.84 + 5*t^8.94 - t^4.18/y - t^6.34/y - t^6.44/y - t^6.54/y - (2*t^6.64)/y + t^7.42/y + t^7.52/y + (4*t^7.62)/y + (5*t^7.72)/y + (4*t^7.82)/y + (4*t^7.92)/y + t^8.02/y - t^8.5/y - t^8.7/y - t^8.8/y + (2*t^8.9)/y - t^4.18*y - t^6.34*y - t^6.44*y - t^6.54*y - 2*t^6.64*y + t^7.42*y + t^7.52*y + 4*t^7.62*y + 5*t^7.72*y + 4*t^7.82*y + 4*t^7.92*y + t^8.02*y - t^8.5*y - t^8.7*y - t^8.8*y + 2*t^8.9*y | t^2.16/g1^24 + t^2.26/g1^14 + t^2.36/g1^4 + 3*g1^6*t^2.46 + t^3.44/g1^16 + g1^4*t^3.64 + g1^14*t^3.74 + t^4.32/g1^48 + t^4.42/g1^38 + (2*t^4.52)/g1^28 + (4*t^4.62)/g1^18 + (4*t^4.72)/g1^8 + 4*g1^2*t^4.82 + 6*g1^12*t^4.92 + t^5.6/g1^40 + t^5.7/g1^30 + t^5.8/g1^20 + (3*t^5.9)/g1^10 - t^6. + 2*g1^10*t^6.1 + 2*g1^20*t^6.2 + t^6.48/g1^72 + t^6.58/g1^62 + (2*t^6.68)/g1^52 + (5*t^6.78)/g1^42 + (6*t^6.88)/g1^32 + (7*t^6.98)/g1^22 + (9*t^7.08)/g1^12 + (7*t^7.18)/g1^2 + 5*g1^8*t^7.28 + 8*g1^18*t^7.38 + t^7.76/g1^64 + t^7.86/g1^54 + (2*t^7.96)/g1^44 + (3*t^8.06)/g1^34 + t^8.16/g1^24 - t^8.26/g1^14 + t^8.36/g1^4 - 6*g1^6*t^8.46 + g1^16*t^8.56 + t^8.64/g1^96 + 2*g1^26*t^8.66 + t^8.74/g1^86 + (2*t^8.84)/g1^76 + (5*t^8.94)/g1^66 - t^4.18/(g1^2*y) - t^6.34/(g1^26*y) - t^6.44/(g1^16*y) - t^6.54/(g1^6*y) - (2*g1^4*t^6.64)/y + t^7.42/(g1^38*y) + t^7.52/(g1^28*y) + (4*t^7.62)/(g1^18*y) + (5*t^7.72)/(g1^8*y) + (4*g1^2*t^7.82)/y + (4*g1^12*t^7.92)/y + (g1^22*t^8.02)/y - t^8.5/(g1^50*y) - t^8.7/(g1^30*y) - t^8.8/(g1^20*y) + (2*t^8.9)/(g1^10*y) - (t^4.18*y)/g1^2 - (t^6.34*y)/g1^26 - (t^6.44*y)/g1^16 - (t^6.54*y)/g1^6 - 2*g1^4*t^6.64*y + (t^7.42*y)/g1^38 + (t^7.52*y)/g1^28 + (4*t^7.62*y)/g1^18 + (5*t^7.72*y)/g1^8 + 4*g1^2*t^7.82*y + 4*g1^12*t^7.92*y + g1^22*t^8.02*y - (t^8.5*y)/g1^50 - (t^8.7*y)/g1^30 - (t^8.8*y)/g1^20 + (2*t^8.9*y)/g1^10 |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
| # | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|
| 3046 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_1M_5$ + $ M_6\phi_1q_2^2$ + $ M_2M_6$ | 0.5989 | 0.7634 | 0.7846 | [X:[], M:[1.2632, 0.9474, 0.7368, 0.7368, 0.7368, 1.0526], q:[0.7895, 0.2632], qb:[0.4737, 0.7895], phi:[0.4211]] | 3*t^2.21 + t^2.53 + t^2.84 + 2*t^3.16 + t^3.47 + t^4.11 + 6*t^4.42 + 4*t^4.74 + 4*t^5.05 + 6*t^5.37 + 4*t^5.68 - t^4.26/y - t^4.26*y | detail | {a: 32865/54872, c: 20945/27436, M1: 24/19, M2: 18/19, M3: 14/19, M4: 14/19, M5: 14/19, M6: 20/19, q1: 15/19, q2: 5/19, qb1: 9/19, qb2: 15/19, phi1: 8/19} |
| 3045 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_1M_5$ + $ M_6\phi_1q_2^2$ + $ M_6^2$ | 0.6178 | 0.7845 | 0.7876 | [X:[], M:[1.25, 0.9167, 0.75, 0.75, 0.75, 1.0], q:[0.7917, 0.2917], qb:[0.4583, 0.7917], phi:[0.4167]] | 3*t^2.25 + t^2.5 + t^2.75 + t^3. + t^3.25 + t^3.5 + t^4. + 6*t^4.5 + 4*t^4.75 + 4*t^5. + 4*t^5.25 + 4*t^5.5 + 3*t^5.75 - t^4.25/y - t^4.25*y | detail | {a: 949/1536, c: 1205/1536, M1: 5/4, M2: 11/12, M3: 3/4, M4: 3/4, M5: 3/4, M6: 1, q1: 19/24, q2: 7/24, qb1: 11/24, qb2: 19/24, phi1: 5/12} |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|
Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
| id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
|---|
Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 739 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_1M_5$ | 0.6477 | 0.8091 | 0.8005 | [X:[], M:[1.1874, 0.7706, 0.8126, 0.8126, 0.8126], q:[0.8021, 0.4273], qb:[0.3853, 0.8021], phi:[0.3958]] | t^2.31 + t^2.37 + 3*t^2.44 + t^3.5 + t^3.63 + t^3.69 + t^3.75 + t^4.62 + t^4.69 + 4*t^4.75 + 4*t^4.81 + 6*t^4.88 + t^5.81 + 2*t^5.94 - t^6. - t^4.19/y - t^4.19*y | detail |